The solution (B) x=79.
Rewriting the equation to find the solution -
(x+2)³/₄=27
Raising both sides of the equation with exponent ⁴/₃
((x+2)³/₄)⁴/₃ = 27⁴/₃
Cancelling the exponents on Left Hand Side of the equation. Writing the value on Right Hand Side of the equation in exponent form
x + 2 = (3³)⁴/₃
Cancelling 3 on Right Hand Side of the equation
x + 2 = 3⁴
Solving Right Hand Side of the equation
x + 2 = 81
Shifting 2 to Right Hand Side of the equation
x = 81 - 2
Performing subtraction on Right Hand Side of the equation
x = 79
Hence, the solution is (B) x=79.
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Answer:
12 square cm correct to 2 significant figures
Step-by-step explanation:
Area of a Rectangle = L X B = 2.1 X 5.6 = 11.76 square cm
To round your result to 2 significant figure, we start counting from the left from the first non-zero digit.
The first two digits are 11 but because the number after is 7 (greater than 4), we round up to 12.
11.76 square cm = 12 square cm correct to 2 significant figures
To find the integer, you must cross multiply, group the same terms, then divide both side by 2:
Solution:
4/(x-3)= 2/3
12 = 2x-6
18=2x
x= 9
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
